Negative Exponents and Their Properties

The video tutorial explains negative exponents, showing how a base raised to a negative exponent equals one over the base raised to the positive exponent. It covers handling negative exponents in denominators by converting them to positive exponents in the numerator. The tutorial uses a quotient rule example to demonstrate simplifying expressions and applying exponent rules. Key points include understanding the movement of exponents between numerators and denominators and applying the quotient rule effectively.

What does a negative exponent indicate about the base?

• The base is in the numerator.

• The base is in the denominator.

• The base is negative.

• The base is zero.

How can a base with a negative exponent be rewritten?

• As a base with a positive exponent in the numerator.

• As a base with a negative exponent in the numerator.

• As a base with a positive exponent in the denominator.

• As a base with a larger exponent.

What happens when a negative exponent is in the denominator?

• It remains negative.

• It becomes zero.

• It can be moved to the numerator as a positive exponent.

• It becomes a fraction.

In the example 3 divided by 3 cubed, what is 3 cubed equal to?

• 81

• 27

• 9

• 6

What is the result of dividing a number by itself?

• 0

• 1

• The number itself

• Infinity

How is the quotient rule applied to exponents?

• By adding the exponents.

• By multiplying the exponents.

• By subtracting the exponent in the denominator from the exponent in the numerator.

• By dividing the exponents.

What is the result of 3 to the power of negative 2?

• 1/9

• 3

• 1/3

• 9

How can 3 to the negative 2 be rewritten using the negative exponent rule?

• 3 squared

• 1 over 3 squared

• 3 to the power of 2

• 1 over 3

What is the result of applying the negative exponent rule to 3 to the power of negative 2?

• 3 squared

• 1 over 3 squared

• 3 to the power of 2

• 1 over 3

What is the result of applying the negative exponent rule to 3 to the power of negative 2?

• 3 squared

• 1 over 3 squared

• 3 to the power of 2

• 1 over 3